381120 has 56 divisors (see below), whose sum is σ = 1213104. Its totient is φ = 101376.

The previous prime is 381103. The next prime is 381167. The reversal of 381120 is 21183.

381120 = T₁₀₇ + T₁₀₈ + ... + T₁₅₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 381120.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381120.

It is an unprimeable number.

381120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762 + ... + 1158.

2³⁸¹¹²⁰ is an apocalyptic number.

381120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606552).

381120 is an abundant number, since it is smaller than the sum of its proper divisors (831984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381120 is a wasteful number, since it uses less digits than its factorization.

381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 381120 is about 617.3491718631. The cubic root of 381120 is about 72.5026554715.

The spelling of 381120 in words is "three hundred eighty-one thousand, one hundred twenty".